Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Decode the code, Smugglers are becoming very smart day by day. Now they hav...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

Functions overloading, Functions Overloading This a capability in which...

Functions Overloading This a capability in which a C++ program can have several functions performing similar tasks on different data types. When an overloaded function is calle

Area, Write a program to find the area under the curve y = f(x) between x =...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Explain multilevel inheritance, Multilevel Inheritance In multilevel in...

Multilevel Inheritance In multilevel inheritance there is a parent class , from whom we derive another class . now from this derived class we can derive another class and so on

Data structure, how to convert a general tree into binary tree with example...

how to convert a general tree into binary tree with example

KRPano, I am seeking an expert to create a 360 degree virtual tour in KRPan...

I am seeking an expert to create a 360 degree virtual tour in KRPano for use on PCs, tablets and smartphones. You will be given with panoramas in order to create an advanced KRPano

Define automatic storage classes - computer programming, Define Automatic s...

Define Automatic storage classes - computer programming? The Variables declared within function bodies are automatic by default and automatic variables are declared inside a fu

Application to maintain soccer team information, Write a C program "team.c"...

Write a C program "team.c" that maintains information for a soccer team. The program will allow you to add and delete players from your team, to search your team for players by nam

Computes the area of a circle of radius r, (a) Write a procedure called (ar...

(a) Write a procedure called (area-of-rectangle h w) that computes the area of a rectangle of height h and width w. (b) Write a procedure called (area-of-circle r) that computes

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd